Scheme Theory I
Prerequisites
Prerequisites: Scheme Theory I
Programme
Separated morphisms. Proper morphisms. Valuative criteria. Projective morphisms. Kähler differentials.
Cohomology of quasi-coherent sheaves.
Flat morphisms. Smooth morphisms.
Applications to curves and surfaces.
Educational aims
Teaching scheme theory
Bibliographical references
Qing Liu, Algebraic Geometry and Arithmetic Curves, Oxford University Press
Robin Hartshorne, Algebraic Geometry, Springer–Verlag
David Mumford, The Red Book of Varieties and Schemes, Lecture Notes in Mathematics, Springer–Verlag
David Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Springer–Verlag
David Eisenbud, Joe Harris, Geometry of Schemes, Springer–Verlag